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Finding the Fourth Proportional to 2,010.78, 3,015.90 and 550.08

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Solution

The fourth proportional to 2,010.78, 3,015.90 and 550.08 is: 825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.78 : 3,015.90 = 550.08 : x
  2. Step 2: Convert to fraction form
    2,010.78/3,015.90 = 550.08/x
  3. Step 3: Cross multiply
    2,010.78x = 3,015.90 × 550.08
  4. Step 4: Simplify right side
    2,010.78x = 1,658,986.27
  5. Step 5: Solve for x
    x = 1,658,986.27/2,010.78
  6. Step 6: Final answer
    x = 825.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.